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Finding the Fourth Proportional to 805.48, 1,111.44 and 511.15

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Solution

The fourth proportional to 805.48, 1,111.44 and 511.15 is: 705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.48 : 1,111.44 = 511.15 : x
  2. Step 2: Convert to fraction form
    805.48/1,111.44 = 511.15/x
  3. Step 3: Cross multiply
    805.48x = 1,111.44 × 511.15
  4. Step 4: Simplify right side
    805.48x = 568,112.56
  5. Step 5: Solve for x
    x = 568,112.56/805.48
  6. Step 6: Final answer
    x = 705.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.